50 years of integer programming, 1958-2008 : from the early years to the state-of-the-art

In 1958, Ralph E. Gomory transformed the field of integer programming when he published a short paper that described his cutting-plane algorithm for pure integer programs and announced that the method could be refined to give a finite algorithm for integer programming. In January of 2008, to commemo...

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Соавтор: Combinatorial optimization workshop :Aussois, France
Другие авторы: Junger, Michael (Публикующий директор), Liebling, Thomas M. (Публикующий директор), Naddef, Denis, 19..-...., auteur en mathématiques appliquées (Публикующий директор)
Формат: Livre numérique
Язык:Anglais
Опубликовано: Berlin, Heidelberg : Springer Berlin Heidelberg : Springer e-books [20..].
Cham : Springer Nature
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Accès sur la plateforme Istex
Accès Université d'Orléans
Accès INSA CVL
Примечание: Ouvrage issu du 12e Combinatorial Optimization Workshop, tenu à Auxois, France, du 7 au 11 janv. 2008
L'impression du document génère xx, 803 p.
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Archives Springer e-books (Licence nationale)
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Variante du titre:Fifty years of integer programming, 1958-2008
Edition sous un autre format:• 50 years of integer programming, 1958-2008, from the early years to the state-of-the-art, Michael Jünger, Thomas Liebling, Denis Naddef ... [et al.], editors, Heidelberg, Springer, 2010, 1 vol. (XX-803 p.), 978-3-540-68274-5
Оглавление:
  • I The Early Years Solution of a Large-Scale Traveling-Salesman Problem The Hungarian Method for the Assignment Problem Integral Boundary Points of Convex Polyhedra Outline of an Algorithm for Integer Solutions to Linear Programs An Algorithm for the Mixed Integer Problem An Automatic Method for Solving Discrete Programming Problems Integer Programming: Methods, Uses, Computation Matroid Partition Reducibility Among Combinatorial Problems Lagrangian Relaxation for Integer Programming Disjunctive Programming II From the Beginnings to the State-of-the-Art Polyhedral Approaches to Mixed Integer Linear Programming Fifty-Plus Years of Combinatorial Integer Programming Reformulation and Decomposition of Integer Programs III Current Topics Integer Programming and Algorithmic Geometry of Numbers Nonlinear Integer Programming Mixed Integer Programming Computation Symmetry in Integer Linear Programming Semidefinite Relaxations for Integer Programming The Group-Theoretic Approach in Mixed Integer Programming